Which of the following relationships represents a no correlation between two variables?
As a student’s class attendance decreases, the student’s overall grade remains the same
As the number of hours a person exercises decreases, the weight of that person increases
As the number of miles driven increases, the amount of the gasoline in the tank decreases
As the amount of water plant receives increases, the growth rate of the plant increase.
Correct Answer : A
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
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Related Questions
Correct Answer is A
Explanation
Correlation of two variables falls into:
Positive correlation: an increase in one variable causes another variable to increase
Negative correlation: an increase in one variable causes another one to decrease
No correlation: a change in one variable does not cause any response in another variable.
From the given choices
Option a is no correlation
Option b is a negative correlation
Option c is a negative correlation
Option d is a positive correlation
Thus, the correct statement is a.
Correct Answer is D
Explanation
: we are needed to find the portion of burger the two other friends share between themselves. A whole burger is 1, and we know that,
One friend=1/4 of 1=1/4*1=1/4
Remaining amount=1-1/4=4/4-1/4=3/4
Thus, ¾ of burger is left for two friends to share among themselves. Then, each friend will get
So, the other two friends will each get 3/8 of the burger.
Correct Answer is A
Explanation
we are asked to find the largest value from the options given. To solve this problem, we need to convert all the given values into fraction. Then find the least common denominator for all fractions, which we will use to multiply each fraction and make a comparison.
43÷55=43/55
5/7
0.729=729/1000
73%=73/100
Now, we need to find the least common denominator of 55, 7, 1000, and 100, which is 77000. We multiply each fraction by 77000 as follows:
43/55*77000=60200
5/7*77000=55000
729/1000*77000=56133
73/100*77000=56210
From the calculated values, it can be noted that 43/55 is the greatest value among the given options.
Correct Answer is A
Explanation
In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.
It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
Correct Answer is C
Explanation
from the given data, one gallon of cleaning solution requires 6 oz of ammonia. The mathematical expression of this statement can be expressed in two ways:
Or
The question requires we find the amount of ammonia needed to make 230 gallons of the solution. So, we use the second option and proceed as follows:
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 1380 oz of ammonia.
Correct Answer is C
Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
Correct Answer is A
Explanation
We convert the given word problem into a mathematical expression.
Let the number be x.
Thrice a number = 3x
Twelve less than thrice a number = 3x-12
Thus, the required mathematical expression is 3x-12
Correct Answer is B
Explanation
An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.
Correct Answer is D
Explanation
to convert fraction to percent, multiply the fraction with 100%. Therefore, the percent equivalent of 3/4 is
3/4*100%=75%
Thus, 3/4is equal to 75%.
Correct Answer is D
Explanation
The net income is the salary of the teacher gets after deducting total taxes.
Weekly net income=weekly gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(72.00+35.00+65.00)
Total tax=$172.00
Weekly net income=$(730.00-172.00)=$558.00
The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4
The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.
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